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146701148861472 = 25323292291059921
BaseRepresentation
bin100001010110110010000101…
…110111011011010000100000
3201020102111022022001200220020
4201112302011313123100200
5123212022423102031342
61240001324415313440
742620544140553162
oct4126620567332040
9636374268050806
10146701148861472
114281a67604a987
12145537b9b1b880
1363b1b222381ca
142832532bdc932
1511e60783150ec
hex856c85ddb420

146701148861472 has 96 divisors (see below), whose sum is σ = 415689912247680. Its totient is φ = 45161373143040.

The previous prime is 146701148861467. The next prime is 146701148861473. The reversal of 146701148861472 is 274168841107641.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (146701148861473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1145465929 + ... + 1145593992.

It is an arithmetic number, because the mean of its divisors is an integer number (4330103252580).

Almost surely, 2146701148861472 is an apocalyptic number.

146701148861472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146701148861472 is an abundant number, since it is smaller than the sum of its proper divisors (268988763386208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146701148861472 is a wasteful number, since it uses less digits than its factorization.

146701148861472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291059986 (or 2291059978 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 60.

The spelling of 146701148861472 in words is "one hundred forty-six trillion, seven hundred one billion, one hundred forty-eight million, eight hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 69 87 92 96 116 138 174 184 232 276 348 368 464 552 667 696 736 928 1104 1334 1392 2001 2208 2668 2784 4002 5336 8004 10672 16008 21344 32016 64032 2291059921 4582119842 6873179763 9164239684 13746359526 18328479368 27492719052 36656958736 52694378183 54985438104 66440737709 73313917472 105388756366 109970876208 132881475418 158083134549 199322213127 210777512732 219941752416 265762950836 316166269098 398644426254 421555025464 531525901672 632332538196 797288852508 843110050928 1063051803344 1264665076392 1528136967307 1594577705016 1686220101856 2126103606688 2529330152784 3056273934614 3189155410032 4584410901921 5058660305568 6112547869228 6378310820064 9168821803842 12225095738456 18337643607684 24450191476912 36675287215368 48900382953824 73350574430736 146701148861472